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Finding the Fourth Proportional to 77.65, 116.48 and 31.99

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Solution

The fourth proportional to 77.65, 116.48 and 31.99 is: 47.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.65 : 116.48 = 31.99 : x
  2. Step 2: Convert to fraction form
    77.65/116.48 = 31.99/x
  3. Step 3: Cross multiply
    77.65x = 116.48 × 31.99
  4. Step 4: Simplify right side
    77.65x = 3,726.49
  5. Step 5: Solve for x
    x = 3,726.49/77.65
  6. Step 6: Final answer
    x = 47.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.